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Finding the Third Proportional to 501,099,914 and 766,625,583

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Solution

The third proportional to 501,099,914 and 766,625,583 is: 1,172,849,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,099,914 : 766,625,583 = 766,625,583 : x
  2. Step 2: Convert to fraction form
    501,099,914/766,625,583 = 766,625,583/x
  3. Step 3: Cross multiply
    501,099,914x = 766,625,583 × 766,625,583
  4. Step 4: Simplify right side
    501,099,914x = 587,714,784,510,089,856
  5. Step 5: Solve for x
    x = 587,714,784,510,089,856/501,099,914
  6. Step 6: Final answer
    x = 1,172,849,501.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.